42926016000 has 960 divisors, whose sum is σ = 175980879360. Its totient is φ = 9068544000.

The previous prime is 42926015999. The next prime is 42926016013. The reversal of 42926016000 is 61062924.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1046975980 + ... + 1046976020.

It is an arithmetic number, because the mean of its divisors is an integer number (183313416).

Almost surely, 2^42926016000 is an apocalyptic number.

42926016000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42926016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87990439680).

42926016000 is an abundant number, since it is smaller than the sum of its proper divisors (133054863360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42926016000 is an equidigital number, since it uses as much as digits as its factorization.

42926016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 42926016000 its reverse (61062924), we get a palindrome (42987078924).

The spelling of 42926016000 in words is "forty-two billion, nine hundred twenty-six million, sixteen thousand".